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Standard XII

Mathematics

Intercept Form of a Line

A straight li...

Question

A straight line cuts the coordinate axes at $A$ and $B$ . If the mid point of $A B$ is $(3, 2)$ , then find the equation of $A B$ .

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Solution

Interesting point on $X$ axis $(a, 0)$
Interesting point on $Y$ axis $(0, b)$
$\frac{x}{a} + \frac{y}{b} = 1$
$2 x + 3 y - 12 = 0$
(Note: alternative method can be used)

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A straight line cuts the coordinate axes at A and B. If the mid point of AB is (3,2), then find the equation of AB.

Interesting point on X axis (a,0)Interesting point on Y axis (0,b)xa+yb=12x+3y−12=0(Note: alternative method can be used)

A straight line cuts the coordinate axes at $A$ and $B$ . If the mid point of $A B$ is $(3, 2)$ , then find the equation of $A B$ .

Interesting point on $X$ axis $(a, 0)$
Interesting point on $Y$ axis $(0, b)$
$\frac{x}{a} + \frac{y}{b} = 1$
$2 x + 3 y - 12 = 0$
(Note: alternative method can be used)